A) 2 h 50 min
B) 2 h 25 min
C) 2 h 10 min
D) 2 h 40 min
Correct Answer: A
Solution :
Suppose two trains meet at x km from A. [Time taken by B to cover \[(450-x)\] km] \[-\][Time taken by A to cover x km] \[=\frac{40}{60}\] \[\Rightarrow \]\[\frac{(450-x)}{80}-\frac{x}{60}=\frac{40}{60}\] \[\Rightarrow \]\[3\,\,(450-x)-4x=160\] \[\Rightarrow \]\[7x=1190\] \[\Rightarrow \]\[x=170\] Thus, the two trains meet at a distance of 170 km from A. Time taken by A to cover \[170\,\,\text{km}=\frac{170}{60}\text{h}=2\,\,\text{h}\]50 min. So, the two trains meet at 6 : 50 pm.You need to login to perform this action.
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